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IMC 2023 Grade 7 — Selection round Question 17

IMC · IMC 2023 Grade 7 — Selection round

Question 17

The numbers $1,2,\ldots,2023$ are written on a board. An and Bình, starting with An, alternately remove one number until two remain. An wins if their sum is divisible by $8$; otherwise Bình wins. Who can force a victory? Give a detailed strategy.